mathsurgery - Integers powers and roots year 8

All
• Understand the significance of a counter-example
• Recognise and use multiples, factors, primes (less than 100), common factors, highest common factors and lowest common multiples in simple cases; use simple tests of divisibility
• Understand negative numbers as positions on a number line; order, add and subtract positive and negative integers in context.
• Recognise the first few triangular numbers, squares of numbers to at least 12 ´ 12 and the corresponding roots

Most
• Identify exceptional cases or counter-examples
• Use multiples, factors, common factors, highest common factors, lowest common multiples and primes
• Find the prime factor decomposition of a number (e.g. 8000) using index notation for small positive integer powers
• Add, subtract, multiply and divide integers• Use squares, positive and negative square roots, cubes and cube roots

Some
• Use the prime factor decomposition of a number (to find highest common factors and lowest common multiples)
• Use ICT to estimate square roots and cube roots
• Use index notation for integer powers; know and use the index laws for multiplication and division of positive integer powers

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Integers powers and roots year 8